Consider the function y = -2 sin (2x – 7) for -7 < x < 3. (a) State the amplitude, period and phase shift, for this function. (b) Solve -2 sin (2x – T) = 0 for –T < x < 3 to find the horizontal intercepts (x-intercepts) of the function. (c) Using the properties of trigonometric functions, compute the values of x for which the maximum and the minimum values of the function occur.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 48E
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Consider the function y = -2 sin (2x – T) for –7 < x < 3.
(a) State the amplitude, period and phase shift, for this function.
(b) Solve -2 sin (2x – T) = 0 for -n <x < 3 to find the horizontal intercepts (x-intercepts)
of the function.
(c) Using the properties of trigonometric functions, compute the values of x for which the
maximum and the minimum values of the function occur.
(d) State the range of the function as an interval.
(e) Using the information obtained in (a)-(d), draw the graph of y = -2 sin (2x – 7) for
-T<x< 3.
Transcribed Image Text:Consider the function y = -2 sin (2x – T) for –7 < x < 3. (a) State the amplitude, period and phase shift, for this function. (b) Solve -2 sin (2x – T) = 0 for -n <x < 3 to find the horizontal intercepts (x-intercepts) of the function. (c) Using the properties of trigonometric functions, compute the values of x for which the maximum and the minimum values of the function occur. (d) State the range of the function as an interval. (e) Using the information obtained in (a)-(d), draw the graph of y = -2 sin (2x – 7) for -T<x< 3.
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